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Finding the Fourth Proportional to 1,327.34, 1,973.11 and 1,288.00

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Solution

The fourth proportional to 1,327.34, 1,973.11 and 1,288.00 is: 1,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.34 : 1,973.11 = 1,288.00 : x
  2. Step 2: Convert to fraction form
    1,327.34/1,973.11 = 1,288.00/x
  3. Step 3: Cross multiply
    1,327.34x = 1,973.11 × 1,288.00
  4. Step 4: Simplify right side
    1,327.34x = 2,541,367.34
  5. Step 5: Solve for x
    x = 2,541,367.34/1,327.34
  6. Step 6: Final answer
    x = 1,914.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.